Answer:
a = 10/3 and b = -196/51.
Step-by-step explanation:
4a + 2b - 12ax + 15b = -40x - 52
Equating coefficients of x:
-12ax = -40x
-12a = -40
a = 40/12
= 10/3.
Equating constants:
4a + 2b + 15b = -52
4a + 17b = -52
Substituting a = 10/3:
40/3 + 17b = -52
17b = -52 - 40/3
b = (-52 - 40/3) / 17
= (-156/ 3 - 40/3) / 17
= -196 / 51
Jason is driving his car at 55mi/h he needs to keep his car within 5 mi/h of his current speed. write and solve an absolute-value equation to find jason's max and min speeds.
The absolute-value equation to find Jason's max and min speeds is |x| = |55 ± 5| mi/h and the maximum speed is 60 mi/h and the minimum speed is 50 mi/h.
Absolute Value equation:
An absolute value equation in the form | ax + b | has the following properties:
If c < 0 , | a x + b | = c has no solution .
If c = 0 , | a x + b | = c has one solution .
If c > 0 , | a x + b | = c has two solutions .
Given,
Jason is driving his car at 55mi/h he needs to keep his car within 5 mi/h of his current speed.
Here we need to write solve an absolute-value equation to find Jason's max and min speeds.
We know that, the current speed = 55 mi/h
And he want to keep the speeds within 5 mi/h of his current speed.
Let x be the unit that measure the maximum and minimum speed.
So,
The maximum speed.
|x| = 55 + 5 = 60 mi/h
and the minimum speed,
|x| = 55 - 5 = 50 mi/h
So, the absolute value of the equation is,
|x| = |55 ± 5| mi/h
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Which of the points a(8, 0, 6), b(9, 6, 2), and c(2, 9, 3) is closest to the yz-plane? which point lies in the xz-plane?
The point closest to -
the yz-plane is c(2, 9, 3).the xz-plane is a(8, 0, 6).What is a plane in 3-D?A plane is a two-dimensional flat surface that can extend indefinitely. A plane would be the two-dimensional equivalent of a point with zero dimensions, a line with one dimension, and three-dimensional space.
The equation is written on a three-dimensional plane is;ax+by+cz+d=0,
where minimum one number out of a, b, and c must be non-zero.
In 3D coordinate space, a plane is defined by a point and a vector perpendicular to the plane.Now, as per the question;
A point (x, y, zdistance )'s from the yz plane is equal to |x|.
As a result, for small |x|, the point would be closest to the yz plane.
C does have the smallest among A, B, and C that is |x| = 2.
Thus, c point is closest to yz-plane.
If the point is in the xz-plane, after which y equals 0.
Only A has a y value of zero.
As a result, A is in the xz-plane.
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An angle that has a measure of 75 is congruent to an angle that has a measure of (6x + 69.06) deg What is the value of x?
Answer:
5.94
Step-by-step explanation:
75 - 69.06 = x
x = 5.94
Find the distance between X ( − 3 , 5 ) and Y ( 4 , 2 ) . Round to the nearest tenth, if necessary.
Answer:
7.6
Step-by-step explanation:
[tex]\sqrt{(-3-4)^2 + (5-2)^2} \approx 7.6[/tex]
A continuous variable _____ (does/does not) allow fractional amounts. a discrete variable _____ (does/does not) allow fractional amounts.
A continuous variable does allow fractional amounts. a discrete variable does not allow fractional amounts.
Which variables require boundaries, also known as real limits, in their measurement scales?
A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.
What distinguishes a ratio scale from an ordinal scale?
Ordinal: The information is classifiable and rankable. The data can be equally spaced, categorized, and rated. Ratio: The data is evenly spaced, categorizable, rankable, and has a natural zero.For continuous data, what kind of data would you use?
Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.
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Please help me I will give 30 points and brainiest
What is the absolute value of 30?
Q.2 - What is the value of y in the equation 3(4y - 12) = 0 ? Show your work.
Hey there!
3(4y - 12) = 0
3(4y) + 3(-12) = 0
12y - 36 = 0
Add 36 to both sides
12y - 36 + 36 = 0 + 36
Cancel out: -36 + 36 because it give you 0
Keep: 0 + 36 because it help solve for the equation
New equation: 12y = 0 + 36
Simplify it
12y = 36
DIVIDE 12 to both sides
12y/12 = 36/12
Cancel out: 12/12 because that give you 1
Keep: 36/12 because it give you the y-value (also known as your overall result)
New equation: y = 36/12
Simplify it
y = 3
Therefore, your answer should be:
y = 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please Help!!
Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve.
6x^(2)-x-2=0
the discriminant is:
D = (-1)^2 - 4*(-2)*6 = 49
We have a positive discriminant, which means that we have two real solutions.
How to find the discriminant?
For the general quadratic equation, the discriminant is:
a*x^2 + b*x + c = 0
The discriminant is:
D = b^2 - 4ac
In this case, the quadratic equation is:
6*x^2 - x - 2 = 0
Then we have:
a = 6, b = -1, c = -2
Replacing that in the discriminant equation:
D = (-1)^2 - 4*(-2)*6 = 49
We have a positive discriminant, which means that we have two real solutions.
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A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use.
With one method, the one-time will total $13,238, and the variable costs will be $24.75 per book.
With the other method, the one time fixed costs will total 50,107, and variable costs will be 11.75 per book. For how many books produced will the costs from the two methods be the same?
2836 numbers books produced will the costs from the two methods be the same.
From the given data
There are two production methods could be used so we can get two equations for cost (c) from two methods
Let x be the numbers of books produced.
Now, To calculate the total production cost.
Total production cost by selling books = Fixed one time cost + Cost for production of books.
From method 1 the equation we get
C = 24.75x + 13238
and from method 2 the equation we get
C = 11.75x + 50107
Method 1 cost = Method 2 cost
24.75x + 13238 = 11.75x + 50107
24.75x - 11.75x = 50107 - 13238
13x = 36869
x = 36869/13
x = 2836
x = 2836 numbers of books will have same cost.
How can I create a mathematical expression using the provided description?By using variables, you may represent the unknowable amounts. As you follow the description, perform each mathematical conversion individually. For instance, if you are asked to increase an item by 4, you can do it by adding 4 to the item. There are various ways to translate descriptions into mathematical formulas, such as multiplying something by 2 if it is, for instance, doubled.
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The function h (x) = startfraction 2 (x 3) over x endfraction is a result of the composition (g ∘ f)(x). if g (x) = startfraction 2 over x endfraction, what is f(x)? f (x) = startfraction 1 over x 3 endfraction f (x) = startfraction x over x 3 endfraction f(x) = x 3 f (x) = startfraction x 3 over x endfraction
The value of the function f(x) = 2x/(2x + 3).
What is defined as the function?A function is defined as a relationship between a set of inputs that each have one output.
A function is a connection between inputs in which each input is related to precisely one output. Every function does have a domain and a co-domain, as well as a range. In general, a function is denoted by f(x), where x is the input.Now, as per the question, the functions are give as;
h(x) = (2x + 3)/x
g(x) = 2/x
And, g(f (x) ) = h(x) = (2x + 3)/x ......(equation 1)
To estimate the value of f (x); Substitute x for f(x)
g(f (x) ) = 2/f (x) ......(equation 2)
Equation (equation 1 and 2).
2/f (x) = (2x + 3)/x
f (x) = 2x/ (2x + 3)
Thus, the value of the function f (x) = 2x/ (2x + 3).
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The correct question is-
The function h (x) = StartFraction 2 (x + 3) Over x EndFraction is a result of the composition (g compose f) (x). If g (x) = StartFraction 2 over x EndFraction, what is f(x)?
Keisha cuts a triangle from a rectangular strip of cloth. What type of triangle did Keisha cut?
A. Scalene,Right
B. Scalene, Acute
C. Isosceles, Right
C. Isosceles, Acute
Answer: i think its d
Step-by-step explanation:
PLEASE DUE TODAY!! Which remarkable thing was made bye the Mound Builders? (A) boat canals (B) buffalo traps
(C) large cities (D) coastal towers (BTW will give 20 points and brainly)
The remarkable thing that was made by the Mound Builders is (C) large cities
How to illustrate the information?In the Ohio River Valley, Native American tribes constructed mounds and enclosures for burial, religious, and even defense purposes. For dramatic effect, they frequently constructed their mounds on or near tall cliffs or bluffs, as well as in rich river valleys.
Mound Builders were not one particular group of people; rather, they were pre-Columbian tribal groups that erected massive earthen constructions known as mounds throughout North America. These mounds were used as houses, burial grounds, and ceremonial hubs, among other things.
In conclusion, the remarkable thing that was made by the Mound Builders is large cities.
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If four dice are rolled, what is the probability of obtaining two identical odd numbers and two identical even numbers?
Answer:
1/24 = 0.041666666...
Step-by-step explanation:
when rolling 4 dice, we have
6 × 6 × 6 × 6 = 6⁴ = 1296
different possible outcomes (each die has 6 possible outcomes).
so, the probability of any particular pattern is then
1/1296.
we need to find how many patterns there are to represent the desired result of 2 identical odd numbers combined with 2 identical even numbers.
there are on every die 3 out of 6 options for an odd number, and the other 3 out of 6 options for an even number.
when we roll 2 dice, the patterns for 2 identical odd numbers are
1 1
3 3
5 5
so, 3 out of the possible 36.
similar for 2 identical even numbers.
2 2
4 4
6 6
3 out of the possible 36.
so, combining this together for a roll of 4 dice, we get then
3 × 3 out of the possible 36 × 36
9 out of the possible 1296 patterns.
that means the probability (desired over total possible cases) for a specific combination of 2-and-2 dice is
9/1296 = 1/144 = 0.006944444...
but there are 4! / (2! × 2!) = 6 possibilities (pick 2 out of 4, where the sequence of the picked ones does not matter) to pick 2 dice out of 4 and to show the same pattern across the 4 dice, as e.g. for the basic pattern 1 1 2 2 we can have
1 1 2 2
1 2 1 2
1 2 2 1
2 1 2 1
2 1 1 2
2 2 1 1
all of the 9 patterns have these 6 combination possibilities.
so, we need to multiply the individual pattern probability by 6 for the total probability
1/144 × 6 = 6/144 = 1/24 = 0.041666666...
misha is the 50th best as well as the 50th worst student in her grade. how many students are in misha's grade?
There are 99 students in Misha's grade.
What do we mean by Venn diagrams?A Venn diagram is a popular diagram style that shows the logical relationship between sets. It was popularized in the 1880s by John Venn (1834-1923). The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach elementary set theory and to illustrate simple set relationships. To represent sets, a Venn diagram employs simple closed curves drawn on a plane. These curves are frequently circles or ellipses.So,
We'll make a Venn diagram (consider the diagram given below).Misha is common in both groups.According to the diagram, 49 + 49 + 1 = 99.Therefore, there are 99 students in Misha's grade.
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14. Determine whether the relation shown in the
table is a function. Explain. (Lesson 2-1)
Domain
Range
-4
8
2
11
-4
13
5
13
Now, it is not a function, same domain has different ranges
Robert wants to throw a party for his friends. he has booked a banquet hall where he plans to serve dinner. the hall costs $200, and dinner costs $30 per person. if the final bill is p, which function gives the number of friends at the party.
4. The temperature in California was 80 degrees on Thursday. The temperature in the North Pole was -100. What is the
difference between the two temperatures?
Answer:
180 degrees
Step-by-step explanation:
-100 + 180 = 80
A rectangular bathroom mirror has a perimeter of 24 feet and an area of 20 square feet. What are the dimensions of the mirror?
A rectangular bathroom mirror having a perimeter of 24 feet and an area of 20 square feet, The length and breadth of rectangle are 10 feet and 2 feet respectively.
Given,
perimeter of the rectangle = 24 feet
area of rectangle = 20 sq. feet
Formula of perimeter of rectangle = 2(L + B)
where L = length of the rectangle , Breadth of the rectangle.
⇒ 24 = 2(L + b)
⇒ 12 = L + B
⇒ L = 12 - B ........(1)
Formula of area of rectangle = L × B
⇒ 20 = L × B
⇒ L = 20 / B .......(2)
From (1) and (2)
equating two equations,
12 - B = 20 / B
⇒ 12B = 20 + B²
⇒ B² - 12B + 20
On solving,
⇒ B = 10, 2
So, the Length and breadth of rectangle are 10 feet and 2 feet
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A zero-order reaction of reactant a is found to have [a]0=0.25 m. if [a]=0.10 m at t=100. s, what is the rate constant k?
The rate constant K is 0.0015.
Zero-order reaction of reactant a is found to have [a]0=0.25 m and
if [a]=0.10 m at t=100s, then we need to find the rate constant k.
What is the formula for rate constant k?The rate constant, k, is a proportionality constant that indicates the relationship between the molar concentration of reactants and the rate of a chemical reaction
k=([a]0-[a])/t
where k is rate constant,
By the given data we have [a]0=0.25 m
[a]=0.10 m
t=100s
k=?
The rate constant, is a proportionality constant that indicates the relationship between the molar concentration of reactants and the rate of a chemical reaction.
The rate constant is denoted by k.
k=([a]0-[a])/t
Subtract 0.10 from 0.25 and divide it by 100
=(0.25-0.10)/100
=0.15/100
=0.0015
Therefore 0.0015 is the rate constant when a zero-order reaction of reactant a is found to have [a]0=0.25 m and [a]=0.10 m at t=100.
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Lisa is making activity baskets to donate to charity. She has 12 coloring books, 28
markers, and 36 crayons. What is the greatest number of baskets she can make if each
type of toy is equally distributed among the baskets? How many of each supply will go
into the baskets? GCF *
what are the next three terms of the sequence 1,11,22,34
Answer:
47, 61, 76
Step-by-step explanation:
1 to 11 is 10, 11 to 22 is 11, 22 to 34 is 12. So you are increasing what you are adding by 1. So next you'd add, 13, 14, and 15 respectively. 34+13 is 47, 47+14 is 61, and 61+15 is 76.
On Wednesday, a local hamburger shop sold a combined total of 544 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answerham=136
Step-by-step explanation:
ham=x,,cheese=3x....=544...4x=544 which makes x to be 136 which is the no of hamburgers
FH bisects ZEFG. Find the indicated angle measures.
m/GFH=71 °. Find m/EFH and m/EFG.
m/EFH=
m/EFG=
O
O
From the information provided the measure of the angles are given as, m∠EFH = 71; and m∠EFG = 142°. See the explanation below.
What is the justification for the above results?It is to be noted that
m∠GFH = m∠EFH
m∠EFH = 71°
m∠EFG = m∠GFH + mEFH
Hence,
m∠EFG = 71 + 71
= 142°
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3y + 6 = 4 - 7y
solve for y and show steps!
Answer:
3y+7y=4-6
10y= -2
y= -2÷10
y =1/2
Ans
Evaluate 40-15/t for t=5 step by step
Answer:
37
Step-by-step explanation:
Evaluate 40-15/t for t=5 step by step
first, remember PEMDAS
substitute in 5 for t
40-15/5
since division (D) comes before subtraction (S) in PEMDAS, we divide first
15/5 is 3
we are left with
40-3
if we subtract, we are left with
37
Answer:
37
Step-by-step explanation:
PEMDAS
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
^
This is the order you should complete your problem in...
HELPP PLEASE. THANK YOU!!
Graph the following system of equations.
2x + 6y = 12
6x + 18y = 18
What is the solution to the system?
Answer:
A. No solution
Step-by-step explanation:
Please see attachment for the graph.
Hope this helps!
Please mark as brainliest if correct!
The equation has No Solution.
What is solution of equation?The points at which the lines representing the intersection of two linear equations are defined as the solution to a linear equation. In other words, the set of all possible values for the variables that satisfy the given linear equation is the solution set for the system of linear equations.
The set of linear equations can be solved in one of three ways
Unique Solution, No Solution and Infinitely Many Solutions.
Given equations
2x + 6y = 12
x 0 6
y 2 0
6x + 18y = 18
x 0 3
y 1 0
The graph of equations is attached,
for solution of equation,
we can find it by graph, the graph shows the parallel line for both equation since equations have No Solution.
The system of linear equations does not have a solution if the graphs of the linear equations are parallel. In this instance, there is no point at which lines do not cross.
Hence there is no solution for equations.
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If your car gets 34 miles per gallon, how much does it cost to drive 330 miles when gasoline costs $3.40 per gallon?
Answer:
$33.
Step-by-step explanation:
330 miles x (1 gal/34 miles) x ($3.40/gal)= $33.
I hope this helps, have a blessed day! :)
Answer: $33
Step-by-step explanation:
1 gallon=$3.40
Hence,
Make a proportion:
34 milles - $3.40
330 milles - x gallones
Thus,
[tex]\displaystyle\\x=\frac{330*3.40}{34} \\\\x=\frac{33*34}{34}\\\\x=33\ dollars[/tex]
A Laboratory technician needs to make a 81-liter batch of a 20% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration
Answer:
You would need 9 liters of pure acid and 72 liters of 10% acid to make a mixture of of 81 liters of 20% acid.
Step-by-step explanation:
See attached picture.
Answer and how to solve this
Translate the phrase into an algebraic equation:
m+6
Solve:
39
Step-By-Step:
If m = 33, then the equation would just be 33 + 6, which equals 39
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil? 5,730 years old 34,380 years old 40,110 years old 45,840 years old?
Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.
What is calibration?Calibration is the comparison of measurement values delivered by a device under test with those of a calibration standard of known accuracy in measurement technology and metrology. A standard could be another known-accuracy measurement device, a device that generates the quantity to be measured, such as a voltage or a sound tone, or a physical artifact, such as a meter ruler. Calibration's goal is to reduce measurement uncertainty by ensuring the accuracy of test equipment. Calibration quantifies and controls measurement errors or uncertainties to an acceptable level.So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.
Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.
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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?
a. 5,730 years old
b. 34,380 years old
c. 40,110 years old
d. 45,840 years old
